A cylinder with a moveable piston contains 92g of Nitrogen. The external pressur

Question

A cylinder with a moveable piston contains 92g of Nitrogen. The external pressure is constant at 1.00 atm. The initial temperature is 200K. When the temperature is increased by 65 K, by taking it out of the freezer, the volume will increase, according to the Ideal Gas Law. Calculate the work for this process. Express your answer in J. The conversion factor between liter atmospheres and joules is 101.3 J = 1 L atm. The gas constant is 0.08206 (L atm)/(mol K). Molecular weight of Nitrogen is 28 g/mol

Explanation / Answer

Using equation,

PV = nRT

V1 = nRT1/P = 92 x 0.08205 x 200/28 x 1 = 53.92 L

V2 = nRT2/P = 92 x 0.08205 x 265/28 x 1 = 71.44 L

work done w = -Pext(V2-V1)

w = -1 x (71.44-52.92) = -17.52 L.atm = -1.77 kJ

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